How do I get my "strong crush" to stop despising me?

Well, here are some things I did wrong. I unintentionally humiliated her because what happened was I trusted my ex friend (humiliated and was a big time mess up on my love life) and he totally messed it up for me. She found out that I liked her at her table and all of her friends were like laughing and it was total chaos. I heard squealing too. After that, I kind of recovered but my best friend told me to ask her out because at the time, he didn't think I was to serious about this. I got rejected obviously by not knowing her. Then said "Hi." and stuff and took a 1-2 month break. Now for the past 2 months, I've been trying to become her friend. Just recently, I found out that she DESPISES me. She thinks I'm annoying and stare at her too much (I do. I was just trying to get her attention this way, but...). I have an idea: "I am sorry for my immaturity in the past and how I've been annoying and staring at you. I was wondering if we could have a fresh start, be friends, and disregard the past." I know it's good, but every time I am about to approach her, I don't actually say it because right then I get too scared but not when I'm just sitting around and stuff. Just when I'm a couple of yards away. Please help...